12425121552000 has 1024 divisors, whose sum is σ = 43193915781120. Its totient is φ = 3156572160000.

The previous prime is 12425121551993. The next prime is 12425121552023. The reversal of 12425121552000 is 25512152421.

12425121552000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26606255767 + ... + 26606256233.

It is an arithmetic number, because the mean of its divisors is an integer number (42181558380).

Almost surely, 2^{12425121552000} is an apocalyptic number.

12425121552000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12425121552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21596957890560).

12425121552000 is an abundant number, since it is smaller than the sum of its proper divisors (30768794229120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12425121552000 is a wasteful number, since it uses less digits than its factorization.

12425121552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 12425121552000 in words is "twelve trillion, four hundred twenty-five billion, one hundred twenty-one million, five hundred fifty-two thousand".